Scalar-tensor cosmologies: general relativity as a fixed point of the Jordan frame scalar field

Abstract

We study the evolution of homogeneous and isotropic, flat cosmological models within the general scalar-tensor theory of gravity with arbitrary coupling function and potential and scrutinize its limit to general relativity. Using the methods of dynamical systems for the decoupled equation of the Jordan frame scalar field we find the fixed points of flows in two cases: potential domination and matter domination. We present the conditions on the mathematical form of the coupling function and potential which determine the nature of the fixed points (attractor or other). There are two types of fixed points, both are characterized by cosmological evolution mimicking general relativity, but only one of the types is compatible with the Solar System PPN constraints.

arXiv comment9 pages, talk at Seventh Alexander Friedmann International Seminar on Gravitation and Cosmology

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Cited by in corpus (8)

• Generalized energy conditions in Extended Theories of Gravity
• Unveiling the Dynamics of the Universe
• Transformation properties and general relativity regime in scalar-tensor theories
• Potential dominated scalar-tensor cosmologies in the general relativity limit: phase space view
• Post-Newtonian parameters and cosmological constant of screened modified gravity
• Scalar-tensor cosmologies with dust matter in the general relativity limit
• What if Newton's Gravitational Constant was negative?
• Global Portraits of Inflation in Nonsingular Variables